When displacement in one third of total amplitude that what fraction of total energy is half potential and half kinetic ?

Explanation

To solve the problem, we need to determine the fraction of total energy that is potential energy and kinetic energy when the displacement is one third of the total amplitude.

### Step-by-Step Solution:

1. **Understanding Total Energy**:
The total mechanical energy (E) in a simple harmonic oscillator is given by the formula:
\[
E = \frac{1}{2} m \omega^2 A^2
...